I don’t have any experience myself, but there was a thread in the ‘General’ forum not too long ago where at least one user reported it works. Personally I would be sceptical in regard to latency (lag), but apparently that’s not too much of an issue with a good connection.
Edit: just saw that you specifically asked about Index. I’m not sure which headset the user I mentioned above used. Very much possible that it was Quest + VD. Sorry for the confusion.
vorpX alone on the Shadow PC would not work, there would definitely have to be some additional streaming app like VD. Not sure whether it also supports streaming from PC to PC. Probably best to ask the VD dev about that.